{"id":413,"date":"2023-06-19T02:27:02","date_gmt":"2023-06-19T02:27:02","guid":{"rendered":"https:\/\/physigeek.com\/it\/velocita-istantanea\/"},"modified":"2023-06-19T02:27:02","modified_gmt":"2023-06-19T02:27:02","slug":"velocita-istantanea","status":"publish","type":"post","link":"https:\/\/physigeek.com\/it\/velocita-istantanea\/","title":{"rendered":"Velocit\u00e0 istantanea"},"content":{"rendered":"<p>Questo articolo spiega cos&#8217;\u00e8 la velocit\u00e0 istantanea in fisica. Allo stesso modo, imparerai come calcolare la velocit\u00e0 istantanea, un esercizio risolto e la differenza tra la velocit\u00e0 istantanea e altri concetti di fisica. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-rapidez-instantanea\"><\/span> Cos&#8217;\u00e8 la velocit\u00e0 istantanea?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>La velocit\u00e0 istantanea<\/strong> \u00e8 la velocit\u00e0 di un corpo in movimento in un dato istante. In altre parole, la velocit\u00e0 istantanea di un corpo \u00e8 la sua velocit\u00e0 in un singolo istante, non in un periodo di tempo prolungato.<\/p>\n<p> La velocit\u00e0 istantanea di un corpo pu\u00f2 cambiare in qualsiasi momento, a differenza della velocit\u00e0 media. Quindi, quando studiamo la velocit\u00e0 istantanea, analizziamo la velocit\u00e0 di un corpo in un istante specifico, non in un lungo intervallo di tempo.<\/p>\n<p> Ad esempio, se la velocit\u00e0 istantanea di un corpo che si muove nel tempo t=7 s \u00e8 pari a 5 m\/s, ci\u00f2 significa che questo corpo si muove alla velocit\u00e0 di 5 m\/s nel tempo t=7 s. Ma nell&#8217;istante successivo la velocit\u00e0 istantanea pu\u00f2 assumere qualsiasi altro valore. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-rapidez-instantanea\"><\/span> Formula per la velocit\u00e0 istantanea<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Matematicamente, la velocit\u00e0 istantanea \u00e8 definita come il limite della velocit\u00e0 media quando l&#8217;intervallo di tempo si avvicina allo zero. La velocit\u00e0 istantanea \u00e8 quindi pari alla derivata dell&#8217;equazione della posizione rispetto al tempo.<\/p>\n<p> Quindi, la <strong>formula per la velocit\u00e0 istantanea<\/strong> \u00e8 la seguente:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-92ed75694286f92f19083b24e7db4856_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r_i=\\lim_{\\Delta t\\to 0}r_m=\\lim_{\\Delta t\\to 0}\\frac{\\Delta x}{\\Delta t}=\\frac{dx}{dt} \" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"236\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Oro: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-832d7d2bfd450205d3065441d06d6e60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"13\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e8 la velocit\u00e0 istantanea. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-2ef62c33fe7e88209462c4dd38d7ec22_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r_m\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"20\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e8 la velocit\u00e0 media. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-e936d3a449e3ecae93ebb5ae1e61feac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta x\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"25\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e8 la variazione della posizione. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-819ab50990df5adf82bea9dfa75ffff2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta t\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e8 l&#8217;intervallo di tempo tendente a 0, cio\u00e8 infinitamente piccolo. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-2ddd47e3ca9359bab9338ab29fe59f9d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{dx}{dt}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"20\" style=\"vertical-align: -12px;\"><\/p>\n<p> \u00e8 la derivata della posizione del corpo rispetto al tempo. <\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-resuelto-de-la-rapidez-instantanea\"><\/span> Esempio reale di velocit\u00e0 istantanea<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Una volta vista la definizione di velocit\u00e0 istantanea e qual \u00e8 la sua formula, vedremo un esempio concreto per capire bene come viene calcolata.<\/p>\n<ul>\n<li> La posizione di una particella in movimento \u00e8 definita dalla seguente equazione:\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-a204471bca12b722bec0f12d80688e70_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x(t)=t^2+5t+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"135\" style=\"vertical-align: -5px;\"><\/p>\n<p> , qual \u00e8 la velocit\u00e0 istantanea della particella al secondo t=4s?<\/li>\n<\/ul>\n<p> La prima cosa che dobbiamo fare \u00e8 derivare l&#8217;equazione per la posizione in funzione del tempo per trovare l&#8217;equazione per la velocit\u00e0 istantanea:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-a204471bca12b722bec0f12d80688e70_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x(t)=t^2+5t+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"135\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-10864c333ac217322b9759843128e1c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r_i(t)=\\cfrac{dx}{dt}=2t+5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"147\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Ora che conosciamo l&#8217;espressione che definisce la velocit\u00e0 istantanea, sostituiamo semplicemente l&#8217;istante di tempo t=4 s nell&#8217;equazione ed eseguiamo i calcoli: <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-7e16bc611f6c74a17d5f5b2e315a0775_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r_i(4)=2\\cdot 4+5=13 \\ \\cfrac{m}{s}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"186\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Rapidez-instantanea-y-velocidad-instantanea\"><\/span> Velocit\u00e0 istantanea e velocit\u00e0 istantanea<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Successivamente vedremo qual \u00e8 la differenza tra velocit\u00e0 istantanea e velocit\u00e0 istantanea, poich\u00e9 si tratta di due concetti fisici che spesso vengono confusi.<\/p>\n<p> La differenza tra velocit\u00e0 e velocit\u00e0 \u00e8 nel tuo calcolo. Quindi, la velocit\u00e0 \u00e8 uguale alla distanza percorsa divisa per il tempo trascorso, mentre la velocit\u00e0 viene calcolata dividendo lo spostamento per l&#8217;intervallo di tempo trascorso.<\/p>\n<p> Pertanto, la <strong>differenza tra velocit\u00e0 istantanea e velocit\u00e0 istantanea<\/strong> \u00e8 che la velocit\u00e0 istantanea viene calcolata dal cambiamento di posizione, mentre la velocit\u00e0 istantanea viene calcolata dallo spostamento. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Vedi:<\/strong> <a href=\"https:\/\/physigeek.com\/it\/distanza-e-spostamento\/\">Differenza tra distanza percorsa e spostamento<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Rapidez-instantanea-y-rapidez-media\"><\/span> Velocit\u00e0 istantanea e velocit\u00e0 media<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Infine vedremo qual \u00e8 la differenza tra velocit\u00e0 istantanea e velocit\u00e0 media, poich\u00e9 si tratta di due tipi di velocit\u00e0 che dobbiamo saper distinguere.<\/p>\n<p> <strong>La velocit\u00e0 media<\/strong> \u00e8 la velocit\u00e0 alla quale un corpo cambierebbe posizione se si fosse mosso a velocit\u00e0 costante lungo tutto il percorso.<\/p>\n<p> La <strong>differenza tra velocit\u00e0 istantanea e velocit\u00e0 media<\/strong> \u00e8 che la velocit\u00e0 istantanea \u00e8 la velocit\u00e0 che ha un corpo in un dato momento. Tuttavia la velocit\u00e0 media \u00e8 la velocit\u00e0 che un corpo avrebbe se avesse cambiato posizione con velocit\u00e0 costante nel tempo. l&#8217;intera traiettoria.<\/p>\n<p> In realt\u00e0 la velocit\u00e0 istantanea \u00e8 la velocit\u00e0 media di un intervallo di tempo molto piccolo, talmente piccolo da essere considerato un solo istante. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Vedi:<\/strong> <a href=\"https:\/\/physigeek.com\/it\">Velocit\u00e0 media<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Questo articolo spiega cos&#8217;\u00e8 la velocit\u00e0 istantanea in fisica. Allo stesso modo, imparerai come calcolare la velocit\u00e0 istantanea, un esercizio risolto e la differenza tra la velocit\u00e0 istantanea e altri concetti di fisica. Cos&#8217;\u00e8 la velocit\u00e0 istantanea? La velocit\u00e0 istantanea \u00e8 la velocit\u00e0 di un corpo in movimento in un dato istante. In altre parole, &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/it\/velocita-istantanea\/\"> <span class=\"screen-reader-text\">Velocit\u00e0 istantanea<\/span> Leggi altro &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[3],"tags":[],"class_list":["post-413","post","type-post","status-publish","format-standard","hentry","category-cinematografico"],"yoast_head":"<!-- This site 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